86515625 has 42 divisors (see below), whose sum is σ = 126912438. Its totient is φ = 58800000.

The previous prime is 86515619. The next prime is 86515643. The reversal of 86515625 is 52651568.

It can be written as a sum of positive squares in 7 ways, for example, as 75829264 + 10686361 = 8708^2 + 3269^2 .

It is not a de Polignac number, because 86515625 - 2⁸ = 86515369 is a prime.

It is a Duffinian number.

Its product of digits (72000) is a multiple of the sum of its prime divisors (125).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 765569 + ... + 765681.

Almost surely, 2^86515625 is an apocalyptic number.

It is an amenable number.

86515625 is a deficient number, since it is larger than the sum of its proper divisors (40396813).

86515625 is an frugal number, since it uses more digits than its factorization.

86515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 72000, while the sum is 38.

The square root of 86515625 is about 9301.3775861428. The cubic root of 86515625 is about 442.2808984787.

The spelling of 86515625 in words is "eighty-six million, five hundred fifteen thousand, six hundred twenty-five".